255530457600 has 240 divisors, whose sum is σ = 920869408800. Its totient is φ = 61946675200.

The previous prime is 255530457577. The next prime is 255530457601. The reversal of 255530457600 is 6754035552.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×255530457600² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (255530457601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119926 + ... + 724874.

It is an arithmetic number, because the mean of its divisors is an integer number (3836955870).

Almost surely, 2^255530457600 is an apocalyptic number.

255530457600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255530457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460434704400).

255530457600 is an abundant number, since it is smaller than the sum of its proper divisors (665338951200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

255530457600 is a wasteful number, since it uses less digits than its factorization.

255530457600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604991 (or 604970 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 42.

The spelling of 255530457600 in words is "two hundred fifty-five billion, five hundred thirty million, four hundred fifty-seven thousand, six hundred".